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Finding the Fourth Proportional to 1,786.25, 2,679.37 and 553.83

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Solution

The fourth proportional to 1,786.25, 2,679.37 and 553.83 is: 830.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.25 : 2,679.37 = 553.83 : x
  2. Step 2: Convert to fraction form
    1,786.25/2,679.37 = 553.83/x
  3. Step 3: Cross multiply
    1,786.25x = 2,679.37 × 553.83
  4. Step 4: Simplify right side
    1,786.25x = 1,483,914.10
  5. Step 5: Solve for x
    x = 1,483,914.10/1,786.25
  6. Step 6: Final answer
    x = 830.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.